What is the best way to solve a quadratic equation that contains fractions? An example is 1/2x - 2x = 3/2

What is the best way to solve a quadratic equation that contains fractions? An example is 1/2x^2 - 2x = 3/2.

I multiply both sides by a number that gets rid of the denominators of all the fractions. E.g.,

Multiply your example by 2 on both sides:

x^2 – 4x = 3

x^2 – 4x – 3 = 0

Using Quadratic Formula:

x = (4 ± √(16–4(1)(–3)))/(2(1))

x = 2 ± √(4–(1)(–3))

x = 2 ± √(7)

## Comments

^{2}- 4ac)^{1/2}^{2}- 4(1/2)(-3/2))^{1/2}^{1/2}= 2 ± √7